Solve for X: √ ( 8 0 + 2 3 ) = (0.6)2-3x - Mathematics

Solve for x:

`sqrt((8^0 + 2/3)` = (0.6)^2-3x

Sum

`sqrt((8^0 + 2/3)` = (0.6)^2-3x

⇒ `(1 + 2/3)^(1/2) = (6/10)^(2-3x)`

⇒ `(5/3)^(1/2) = (3/5)^(2-3x)`

⇒ `(3/5)^(-1/2) = (3/5)^(2-3x)`

⇒ `-(1)/(2)` = 2 - 3x
⇒ -1 = 4 - 6x
⇒ -5 = -6x
⇒ x = `(5)/(6)`.

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Solving Exponential Equations

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Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 9.13

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